Operating rooms (ORs) account for a significant proportion of the costs of maintaining a hospital. Surgery scheduling is optimised to reduce the costs in ORs. However, an important issue that directly affects surgery scheduling is often neglected, i.e. surgeon collaboration. In reality, a surgery requires two surgeons: the main surgeon and an assistant. The surgeon of one surgery might be assigned as the assistant of another surgery. Thus, this paper proposes a two-stage robust model that considers such collaborations. In Stage 1, it determines surgery allocations and surgeon assignments, while in Stage 2, the start time of each surgery is decided. The properties of the solutions are detected, based on which we develop a simple algorithm to solve the two-stage model. In addition, the column-and-constraint generation algorithm is applied to solve the model with a large number of surgeries. The numerical experimentation shows the good performances of the proposed models and algorithms.

手术室 (OR) 占医院维护成本的很大一部分。优化手术安排以降低手术室的成本。然而，一个直接影响手术安排的重要问题往往被忽视，即外科医生的协作。实际上，手术需要两名外科医生：主刀外科医生和助理。一个手术的外科医生可能会被指定为另一个手术的助手。因此，本文提出了一个考虑这种合作的两阶段稳健模型。在第一阶段，它决定了手术分配和外科医生的分配，而在第二阶段，它决定了每次手术的开始时间。检测解的性质，在此基础上我们开发了一个简单的算法来解决两阶段模型。此外，应用列约束生成算法求解具有大量手术的模型。数值实验表明所提出的模型和算法具有良好的性能。